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(Replaced content with "<strong>Welcome to the UCSB Applied Math/PDE Wiki!</strong> Here is a list of our wikis: * Optimal Transport Wiki")
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Here is a list of our wikis:
Here is a list of our wikis:
* [[Optimal Transport Wiki]]
* [[Optimal Transport Wiki]]
<strong>Welcome to the Optimal Transport Wiki!</strong>
Here is a list of [[New article ideas]].
== The optimal transportation problem ==
* [[Monge Problem]]
* [[Kantorovich Problem]]
* [[Optimal Transport and the Monge Ampère equation]]
* [[Kantorovich Dual Problem (for general costs)]]
* [[Kantorovich Dual Problem (for c(x,y) = d(x,y)^2 where d is a metric)]]
== The 2-Wasserstein Metric ==
* [[Geodesics and generalized geodesics]]
* [[Formal Riemannian Structure of the Wasserstein metric]]
* [[Asymptotic equivalence of W_2 and H^-1]]
== Numerical methods for optimal transport ==
* [[Discrete Optimal Transport]]
* [[Auction Algorithm]]
* [[Semidiscrete Optimal Transport]]
* [[Sinkhorn's Algorithm]]
* [[Sliced Wasserstein Distance]]
== Mathematical foundations ==
* [[Dual space of C_0(x) vs C_b(x)]]
* [[Convergence of Measures and Metrizability]]
* [[Fenchel-Moreau and Primal/Dual Optimization Problems]]
* [[Fenchel-Rockafellar and Linear Programming]]
==Applications of Optimal Transport==
* [[Machine Learning]]
== Other ==
* [[Distraction Recommendations]]
* [https://web.ma.utexas.edu/mediawiki/index.php/Starting_page? Nonlocal Equations Wiki]
* [http://proteopedia.org/wiki/index.php/Main_Page Proteopedia]
* [https://www.quantiki.org Quantum Information Wiki]

Revision as of 03:46, 19 September 2020

Welcome to the UCSB Applied Math/PDE Wiki!

Here is a list of our wikis:

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